λ
Ratio Atlas

8,728,447

7 × 13 × 95917
Deficient Odd Composite

8,728,447 factors as 7 × 13 × 95917. Its 8 positive divisors give a proper-divisor sum of 2,014,369, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 7 × 13 × 95917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,742,816
Proper Divisor Sum 2,014,369
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8728427 ← → #8728457

Radix Representation

Decimal 8728447
Binary 100001010010111101111111 (24 bits)
Octal 0o41227577
Hexadecimal 0x852F7F

Divisor Catalog (8)

1 7 13 91 95,917 671,419 1,246,921 8,728,447

Collatz Trajectory (168 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,728,447 26,185,342 13,092,671 39,278,014 19,639,007 58,917,022 29,458,511 88,375,534 44,187,767 132,563,302 66,281,651 198,844,954 99,422,477 298,267,432 149,133,716 74,566,858 37,283,429 111,850,288 55,925,144 27,962,572 13,981,286 6,990,643 20,971,930 10,485,965 31,457,896 15,728,948 7,864,474 3,932,237 11,796,712 5,898,356 2,949,178 1,474,589 4,423,768 2,211,884 1,105,942 552,971 1,658,914 829,457 2,488,372 1,244,186 622,093 1,866,280 933,140 466,570 233,285 699,856 349,928 174,964 87,482 43,741 131,224 65,612 32,806 16,403 49,210 24,605 73,816 36,908 18,454 9,227

More profiles

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